The innovative application of Polya's problem-solving thought in the teaching of mathematical problem-solving--Take a conic section of the college entrance examination as an example

Yuwei  Wu

doi:10.54691/bcpep.v6i.1790

Authors

Yuwei Wu

DOI:

https://doi.org/10.54691/bcpep.v6i.1790

Keywords:

Problem-solving Thinking; Teaching Thinking; Conic Section.

Abstract

In view of the current situation of mathematics teaching thinking and the problems, which are easily overlooked in high school classrooms using Polya's problem-solving ideas. This paper innovates the "'how to solve it' list" in combination with the characteristics of the current era, which extends the "four steps to solve problems" into five steps. To take a conic section of the college entrance examination as the carrier, the five steps are applied in teaching mathematical problem-solving. It is expounded in detail to provide a method reference for optimizing the teaching thinking of high school mathematics teachers.

Downloads

Download data is not yet available.

References

[ America] D. A. Grouse. Research Handbook of Mathematics Teaching and Learning [M]. Shanghai Education Press, 1999.

Yang Qian. The Modern Enlightenment of Polya's Mathematical Education Theory[J]. Journal of Mathematical Education, 2002(02):18-20.

Ren Zhanghui. Theory of Mathematical Thinking [M]. Nanning: Guangxi Education Press, 1990.

Li Changguan. The way of thinking: the focus of mathematics teaching [J]. Mathematics Bulletin, 2022, 61(01): 20-23.

Zhang Jianyue. Establish curriculum awareness and implement core literacy [J]. Mathematics Bulletin, 2016(5): 1-4,14

G. Polya. How To Solve It [M]. Princeton University Press, 1973.

Xu Yanhui. "Review and Reflection" after Mathematical Problem Solving and the Proposition of Mathematical Problems - Exploring a Mode and Method of Raising Mathematical Problems through "Review and Reflection" [J]. Journal of Mathematics Education, 2015, 24(01):9-12.

Xu Bohua, Zhu Fengqin. On Polya's Metacognitive Thought [J]. Journal of Mathematics Education, 2008, 17(3):14.

Duan Zhigui, Wang Guangming, Zhang Jianwei. Asking questions, discovering, developing provinces, and developing—dialysis of "4F" problem-solving teaching toward nature [J]. Mathematical Bulletin, 2021,60(11):35-40+49.

Zhou Chenchen. Talking about the application of Polya's four-step problem-solving method in mathematical problem-solving—taking a conic section question in the college entrance examination as an example [J]. Mathematics Learning and Research, 2020(05):133-134.